Quantum Difference Langevin System with Nonlocal q-Derivative Conditions
We introduce a new class of boundary value problems for Langevin quantum difference systems. Some new existence and uniqueness results for coupled systems are obtained by using fixed point theorems. The existence and uniqueness of solutions are established by Banach’s contraction mapping principle,...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2016/4928314 |
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| _version_ | 1832564175996452864 |
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| author | Surang Sitho Sorasak Laoprasittichok Sotiris K. Ntouyas Jessada Tariboon |
| author_facet | Surang Sitho Sorasak Laoprasittichok Sotiris K. Ntouyas Jessada Tariboon |
| author_sort | Surang Sitho |
| collection | DOAJ |
| description | We introduce a new class of boundary value problems for Langevin quantum difference systems. Some new existence and uniqueness results for coupled systems are obtained by using fixed point theorems. The existence and uniqueness of solutions are established by Banach’s contraction mapping principle, while the existence of solutions is derived by using Leray-Schauder’s alternative. The obtained results are well illustrated with the aid of examples. |
| format | Article |
| id | doaj-art-200eb95118fd4d4e9d8fed38bb4427a5 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-200eb95118fd4d4e9d8fed38bb4427a52025-02-03T01:11:34ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252016-01-01201610.1155/2016/49283144928314Quantum Difference Langevin System with Nonlocal q-Derivative ConditionsSurang Sitho0Sorasak Laoprasittichok1Sotiris K. Ntouyas2Jessada Tariboon3Department of Social and Applied Science, College of Industrial Technology, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandNonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandDepartment of Mathematics, University of Ioannina, 451 10 Ioannina, GreeceNonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandWe introduce a new class of boundary value problems for Langevin quantum difference systems. Some new existence and uniqueness results for coupled systems are obtained by using fixed point theorems. The existence and uniqueness of solutions are established by Banach’s contraction mapping principle, while the existence of solutions is derived by using Leray-Schauder’s alternative. The obtained results are well illustrated with the aid of examples.http://dx.doi.org/10.1155/2016/4928314 |
| spellingShingle | Surang Sitho Sorasak Laoprasittichok Sotiris K. Ntouyas Jessada Tariboon Quantum Difference Langevin System with Nonlocal q-Derivative Conditions International Journal of Mathematics and Mathematical Sciences |
| title | Quantum Difference Langevin System with Nonlocal q-Derivative Conditions |
| title_full | Quantum Difference Langevin System with Nonlocal q-Derivative Conditions |
| title_fullStr | Quantum Difference Langevin System with Nonlocal q-Derivative Conditions |
| title_full_unstemmed | Quantum Difference Langevin System with Nonlocal q-Derivative Conditions |
| title_short | Quantum Difference Langevin System with Nonlocal q-Derivative Conditions |
| title_sort | quantum difference langevin system with nonlocal q derivative conditions |
| url | http://dx.doi.org/10.1155/2016/4928314 |
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